JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Consider the polynomial

f(x)=1+2 x+3 x^2+4 x^3.

Let

s

be the sum of all distinct real roots of

f(x)

. Then

s

lies in the interval

View answer and explanation

Correct option: C

(-3 / 4,-1 / 2)

The correct answer is C ((-3 / 4,-1 / 2)) because

f(x)

has a real root in this interval since

f(-3/4) < 0

and

f(-1/2) > 0

, and

f(x)

is strictly increasing.

More Questions from INCREASING & DECREASING

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)